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Finding the Fourth Proportional to 806.84, 1,113.28 and 475.37

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Solution

The fourth proportional to 806.84, 1,113.28 and 475.37 is: 655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.84 : 1,113.28 = 475.37 : x
  2. Step 2: Convert to fraction form
    806.84/1,113.28 = 475.37/x
  3. Step 3: Cross multiply
    806.84x = 1,113.28 × 475.37
  4. Step 4: Simplify right side
    806.84x = 529,219.91
  5. Step 5: Solve for x
    x = 529,219.91/806.84
  6. Step 6: Final answer
    x = 655.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.